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Finding the Third Proportional to 50,355 and 110,392.88

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Solution

The third proportional to 50,355 and 110,392.88 is: 242,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,355 : 110,392.88 = 110,392.88 : x
  2. Step 2: Convert to fraction form
    50,355/110,392.88 = 110,392.88/x
  3. Step 3: Cross multiply
    50,355x = 110,392.88 × 110,392.88
  4. Step 4: Simplify right side
    50,355x = 12,186,586,850.77
  5. Step 5: Solve for x
    x = 12,186,586,850.77/50,355
  6. Step 6: Final answer
    x = 242,013.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.